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Finding the Fourth Proportional to 498,428.90, 747,643.35 and 299,363.30

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Solution

The fourth proportional to 498,428.90, 747,643.35 and 299,363.30 is: 449,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,428.90 : 747,643.35 = 299,363.30 : x
  2. Step 2: Convert to fraction form
    498,428.90/747,643.35 = 299,363.30/x
  3. Step 3: Cross multiply
    498,428.90x = 747,643.35 × 299,363.30
  4. Step 4: Simplify right side
    498,428.90x = 223,816,980,479.06
  5. Step 5: Solve for x
    x = 223,816,980,479.06/498,428.90
  6. Step 6: Final answer
    x = 449,044.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.